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Finding the Third Proportional to 31,580 and 66,784

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Solution

The third proportional to 31,580 and 66,784 is: 141,231.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,580 : 66,784 = 66,784 : x
  2. Step 2: Convert to fraction form
    31,580/66,784 = 66,784/x
  3. Step 3: Cross multiply
    31,580x = 66,784 × 66,784
  4. Step 4: Simplify right side
    31,580x = 4,460,102,656
  5. Step 5: Solve for x
    x = 4,460,102,656/31,580
  6. Step 6: Final answer
    x = 141,231.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.